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The co-ordinates of a moving particle at...

The co-ordinates of a moving particle at time t are given by x = `at^(2), = y bt^(2)` The speed of the particle is _____ .

A

2(a+b) t

B

`(a^(2)+b^(2))^(1//2) xx t`

C

`2(a^(2)+b^(2))^(1//2)xxt`

D

(a+b) t

Text Solution

Verified by Experts

The correct Answer is:
C
`x = at^(2), y = bt^(2)`
`v_(x)=(dx)/(dt)=2bt`
`v_(y)=(dy)/(dt)=2bt`
`v=sqrt(v_(x)^(x)+v_(y)^(2))`
=`sqrt((2at)^(2)+(2bt)^(2))`
= `2(a^(2)+b^(2))^(1//2)xxt`
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